As it turns out, both types of updating are crucial for developing quantum theory from a perspective that takes entropic inference as the foundation. Since measurement is nothing but the collection of data, it is possible to model the infamous collapse of the wave function as nothing but an application of entropic updating using Bayes' rule. Moreover, entropic updating plays a crucial role in obtaining the Brownian stochastic processes that underlie all quantum systems.Another aspect of entropic inference crucial to quantum theory is information geometry. While this aspect of entropic inference will be briefly reviewed within the course of this thesis, this does not do the subject justice. See the book of Caticha [1]} for an accessible introduction and the book by Amari [2]} for further details.
